Finding the Third Proportional to 110,200 and 238,724

Step by Step Solution

1. Step 1: Write the proportion equation
   110,200 : 238,724 = 238,724 : x
2. Step 2: Convert to fraction form
   110,200/238,724 = 238,724/x
3. Step 3: Cross multiply
   110,200x = 238,724 × 238,724
4. Step 4: Simplify right side
   110,200x = 56,989,148,176
5. Step 5: Solve for x
   x = 56,989,148,176/110,200
6. Step 6: Final answer
   x = 517,142.91